ENERGY CONSIDERATIONS IN PLANETARY AND SATELLITE MOTION Consider a body of mass m moving with a speed v in the vicinity of a massive body of mass M‚ where M >> m. The system might be a planet moving around the Sun‚ a satellite in orbit around the Earth‚ or a comet making a one-time flyby of the Sun. If we assume that the body of mass M is at rest in an inertial reference frame‚ then the total mechanical energy E of the two-body system when the bodies are separated by a distance r is the sum
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I. Introduction Physics is the natural science that involves the study of matter and its motion through space and time‚ along with related concepts such as energy and force. More broadly‚ it is the general analysis of nature‚ conducted in order to understand how the universe behaves. Physics is one of the oldest academic disciplines‚ perhaps the oldest through its inclusion of astronomy. Over the last two millennia‚ physics was a part of natural philosophy along with chemistry‚ certain branches
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the scene. Cause of death? Disobeying the laws of physics. "Suppose the cars collide head-on and bounce off each other at 4.0 meters per second (9 miles per hour). The collision will change both cars’ momentum. But‚ because no force from outside the system has acted on the cars‚ their total momentum remains zero"(DiscoverySchool.com). Back to my example‚ although both cars were going the same speed‚ one driver lived while the other died. While this may seem like driver A was wearing his lucky tie
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average friction force. SOLUTION : (a) At point A EA = mgh = (90 kg) 9.80 m/s2 (15 m) = 13230 J At point B‚ James Bond is at rest so‚ EB = 0 (b) Using conservation of energy: EA = EB ⇒ EA = EC ⇒ mgh = mg h 1 + mv 2 ⇒ 2 2 B ⇒ vB = vC = gh = 2gh = 9.80 m/s2 (15 m) = 12.1 m/s 2 9.80 m/s2 (15 m) = 17.1 m/s 1 2 mgh = mvC 2 (c) Using conservation of energy: EC + Wf C→D = ED ⇒ Wf C→D = ED − EC = -13230 J where we used the fact that EC = EA . (d) Using the definition of work: Wf = f
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m’(’distance’2/’time’2)’; hence the term "mass–energy equivalence".[2] The equation E = mc2 indicates that energy always exhibits mass in whatever form the energy takes.[3] Mass–energy equivalence also means that mass conservation becomes a restatement‚ or requirement‚ of the law of energy conservation‚ which is the first law of thermodynamics. Mass–energy equivalence does not imply that mass may be "converted" to energy‚ and indeed implies the opposite. Modern theory holds that neither mass nor energy may
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bullet of mass 0.01 kg at a speed of 200 m/s. The recoil velocity of the rifle is about 0.001 m/s. 0.1 m/s. 1 m/s ***(answer) 0.01 m/s. none of these You’ve given m1 = 2 kg v1 = ? m2 = 0.01 kg v2 = 200 m/s Set it up as a conservation of momentum problem m1v1 = m2v2 Insert values and solve
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PHY 305/601 Classical Mechanics Assignment No. 1 1. Consider a particle of mass m constrained to move on a frictionless cylinder of radius R‚ given by the equation ρ=R in cylindrical polar coordinates (ρ‚ φ‚ z). Besides the force of constraint‚ the only force on the mass is force F=-kr directed toward the originUsing z and φ as generalized coordinates find the Lagrangian L‚ solve Lagrange’s equations and describe the motion. 2. Show that the kinetic energy of any holonomic mechanical system has
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Collisions may involve many different qualities but momentum is a main aspect of a collision. There are three main types of collisions: elastic collisions‚ inelastic collisions‚ and completely inelastic collisions. All collisions involve momentum because momentum is conserved in all collisions. Momentum is also known as mass in motion and a vector. Momentum equals mass times velocity‚ which is found during a collision. Momentum is an important part during a collision because it determines the outcome
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This could be as simple as the conservation of momentum law which states that “stating that the total linear momentum of a closed system remains constant through time‚ regardless of other possible changes within the system” this is the case for humans on earth‚ however when the bacteria get the same results they may state something
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one another. 2. State the law of Conservation of Mechanical Energy in two ways? The law of conservation of energy states that energy may neither be created nor destroyed. Therefore the sum of all the energies in the system is a constant. TMEinitial=TMEfinal 3. Explain the basic ideas that govern the design and operation of a roller coaster. A roller coaster is operated and designed through the application of Physics. The law of Conservation of Energy governs the changes in a coaster
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